Called again using the recommended online order support line that someone posted. She said the same thing as the other rep.. For the 6+ 64GB Space Gray model, all orders between 12-12:14am EST are being delivered by 9/19. All orders between 12:15-7am are being delivered by 10/7.
Both of my confirmation emails state a delivery date by 9/19. When I check the status of the order on my Verizon corporate account, it says to be delivered by 9/19.
I guess i'll definitely find out which if I don't receive shipment/tracking information by Thursday night.